Finding the Third Proportional to 35.86 and 70.45

Step by Step Solution

1. Step 1: Write the proportion equation
   35.86 : 70.45 = 70.45 : x
2. Step 2: Convert to fraction form
   35.86/70.45 = 70.45/x
3. Step 3: Cross multiply
   35.86x = 70.45 × 70.45
4. Step 4: Simplify right side
   35.86x = 4,963.64
5. Step 5: Solve for x
   x = 4,963.64/35.86
6. Step 6: Final answer
   x = 138.42